从先验到投影：概率成形的几何与简化MIMO解调
From Priors to Projections: Geometry and simplified MIMO demodulation of probabilistic shaping
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中文总结 AI 辅助
本文证明在MIMO系统中，服从麦克斯韦-玻尔兹曼分布的概率成形符号，其最优MAP检测可等价为均匀星座加简单预处理，从而简化接收机架构并降低球面解码等自适应方法的复杂度。
中文摘要 AI 辅助
概率成形（PS）是一种通过在规则正交幅度调制（QAM）基础上，使底层星座点的分布非均匀化，从而提升性能的著名方法。多年来，该方法在加性高斯白噪声（AWGN）和瑞利衰落信道中得到了广泛研究。然而，概率成形在多输入多输出（MIMO）场景中的潜力仍需进一步探索。本文证明，若成形符号服从麦克斯韦-玻尔兹曼分布，则最优最大后验（MAP）检测等价于均匀星座加上一个简单预处理步骤的情况。我们的方法具有多重优势：它使得成形和未成形系统能够使用相同的处理链，从而简化了接收机架构。该技术可同时应用于线性MMSE和非线性（近）MAP解映射器类型。此外，诸如球面解码等自适应方法的复杂度也可得到降低。
英文摘要
Probabilistic shaping (PS) is a well-known method to achieve improved performance upon a regular quadrature amplitude modulation (QAM) by taking the target constellation and making the distribution of underlying points non-uniform. It has been extensively studied over the years for the additive white Gaussian noise (AWGN) and Rayleigh fading channels. However, the potential of probabilistic shaping in the multiple-input and multiple-output (MIMO) setting needs further investigations. In this paper, we prove that if shaped symbols follow Maxwell-Boltzmann distribution, the optimal maximum a posteriori (MAP) detection is equivalent to the case of uniform constellation with a simple preprocessing step. Our approach has multiple benefits. It enables to utilize the same processing chain for both shaped and unshaped system, which simplifies the receiver architecture. This technique can be applied for both linear MMSE and nonlinear (near-)MAP demapper types. In addition, the complexity of adaptive methods such as sphere decoding can be reduced.
发表机构
- Qualcomm Technologies, Inc.（高通技术公司）
机构由 AI 辅助整理，请以论文原文为准。
